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12001102011 = 3253181229607
BaseRepresentation
bin10110010110101001…
…00100100010111011
31010222101012011000200
423023110210202323
5144034240231021
65302505133243
7603253453413
oct131324444273
933871164020
1012001102011
1150a9344628
1223ab18a223
13119345c2c2
1481bc27643
154a38dc126
hex2cb5248bb

12001102011 has 48 divisors (see below), whose sum is σ = 17866517760. Its totient is φ = 7759514880.

The previous prime is 12001102007. The next prime is 12001102037. The reversal of 12001102011 is 11020110021.

It is a happy number.

12001102011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001102011 - 22 = 12001102007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12001101984 and 12001102002.

It is not an unprimeable number, because it can be changed into a prime (12001102051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19770870 + ... + 19771476.

It is an arithmetic number, because the mean of its divisors is an integer number (372219120).

Almost surely, 212001102011 is an apocalyptic number.

12001102011 is a deficient number, since it is larger than the sum of its proper divisors (5865415749).

12001102011 is a wasteful number, since it uses less digits than its factorization.

12001102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001102011 its reverse (11020110021), we get a palindrome (23021212032).

The spelling of 12001102011 in words is "twelve billion, one million, one hundred two thousand, eleven".

Divisors: 1 3 9 53 159 181 229 477 543 607 687 1629 1821 2061 5463 9593 12137 28779 32171 36411 41449 86337 96513 109233 109867 124347 139003 289539 329601 373041 417009 988803 1251027 2196797 5822951 6590391 7367159 17468853 19771173 22101477 25159543 52406559 66304431 75478629 226435887 1333455779 4000367337 12001102011